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Conformal Spectrum and Harmonic Maps [PDF]

open access: greenMoscow Mathematical Journal, 2015
This paper is devoted to the study of the conformal spectrum (and more precisely the first eigenvalue) of the Laplace-Beltrami operator on a smooth connected compact Riemannian surface without boundary, endowed with a conformal class. We give a constructive proof of a critical metric which is smooth except at some conical singularities and maximizes ...
Nikolaï Nadirashvili, Yannick Sire
openalex   +4 more sources

On the Boundary Behavior of a Conformal Map [PDF]

open access: bronzeTransactions of the American Mathematical Society, 1956
J. L. Walsh, L. Rosenfeld
openalex   +4 more sources

Hexagons all the way down: grid cells as a conformal isometric map of space. [PDF]

open access: greenPLoS Comput Biol
Schøyen VS   +7 more
europepmc   +3 more sources

Celestial diamonds: conformal multiplets in celestial CFT [PDF]

open access: yesJournal of High Energy Physics, 2021
We examine the structure of global conformal multiplets in 2D celestial CFT. For a 4D bulk theory containing massless particles of spin s = 0121322\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage ...
S. Pasterski   +2 more
semanticscholar   +1 more source

Noise effects on Padé approximants and conformal maps [PDF]

open access: yesJournal of Physics A: Mathematical and Theoretical, 2022
We analyze the properties of Padé and conformal map approximants for functions with branch points, in the situation where the expansion coefficients are only known with finite precision or are subject to noise.
O. Costin, G. Dunne, Max Meynig
semanticscholar   +1 more source

Conformal complementarity maps [PDF]

open access: yesJournal of High Energy Physics, 2013
Abstract We study quantum cosmological models for certain classes of bang/crunch singularities, using the duality between expanding bubbles in AdS with a FRW interior cosmology and perturbed CFTs on de Sitter space-time. It is pointed out that horizon complementarity in the AdS bulk geometries is realized as a conformal ...
Eliezer Rabinovici   +2 more
openaire   +4 more sources

Liouville quantum gravity and the Brownian map III: the conformal structure is determined [PDF]

open access: yesProbability theory and related fields, 2016
Previous works in this series have shown that an instance of a 8/3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{
Jason Miller, S. Sheffield
semanticscholar   +1 more source

Complex Functional Maps: A Conformal Link Between Tangent Bundles [PDF]

open access: yesComputer graphics forum (Print), 2021
In this paper, we introduce complex functional maps, which extend the functional map framework to conformal maps between tangent vector fields on surfaces. A key property of these maps is their orientation awareness.
Nicolas Donati   +3 more
semanticscholar   +1 more source

Rigidity and continuous extension for conformal maps of circle domains [PDF]

open access: yes, 2022
We present sufficient conditions so that a conformal map between planar domains whose boundary components are Jordan curves or points has a continuous or homeomorphic extension to the closures of the domains.
Dimitrios Ntalampekos
semanticscholar   +1 more source

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